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Finding the Fourth Proportional to 10,617.71, 15,924.42 and 10,090.80

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Solution

The fourth proportional to 10,617.71, 15,924.42 and 10,090.80 is: 15,134.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,617.71 : 15,924.42 = 10,090.80 : x
  2. Step 2: Convert to fraction form
    10,617.71/15,924.42 = 10,090.80/x
  3. Step 3: Cross multiply
    10,617.71x = 15,924.42 × 10,090.80
  4. Step 4: Simplify right side
    10,617.71x = 160,690,137.34
  5. Step 5: Solve for x
    x = 160,690,137.34/10,617.71
  6. Step 6: Final answer
    x = 15,134.17

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.